Non-Hermitian Exchange as the Origin of Chirality-Induced Spin Selectivity

Abstract: For over two decades, the role of structural chirality in spin polarization has been widely investigated, with implications for the origins of life, catalysis, and quantum phenomena. Yet, it remains unclear whether all chirality-induced spin selectivity (CISS) effects arise from a common mechanism. We show that breaking all mirror symmetries in structurally chiral electron systems enforces a twin-pair electron exchange, inherently violating both parity P and time-reversal T symmetry while preserving combined PT-symmetry of the Hamiltonian. This exchange produces chiral quantum states where electron spin and motion are intrinsically linked, a key feature of CISS. At interfaces, these states drive spin and charge accumulation via spin-momentum locking. Our findings establish a new paradigm connecting quantum statistics, non-Hermitian physics, and spin transport with structural chirality. This framework unifies all observed CISS effects and provides guiding principles for designing chiral materials for spintronic and quantum applications.